• 제목/요약/키워드: Equivalent damping

검색결과 390건 처리시간 0.024초

수정된 등가선형해석기법의 정확성 평가 (Evaluation of Accuracy of Modified Equivalent Linear Method)

  • 정창균;곽동엽;박두희;김광균
    • 한국지반환경공학회 논문집
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    • 제11권6호
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    • pp.5-20
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    • 2010
  • 1차원 등가선형 지반응답해석은 지반에 의한 지진동의 증폭현상을 모사하는데 널리 사용되고 있다. 등가선형해석은 적은 수의 입력변수를 필요로하므로 사용하기 편리하며 해석 소요시간이 짧다는 장점을 가지고 있는 반면, 시간에 따라서 변화하는 지반의 비선형 거동을 모사할 수 없으며 일정한 전단탄성계수와 감쇠비를 해석 내내 적용하는 선형해석이라는 단점을 가지고 있다. 이와 같은 등가선형해석의 단점을 보완하기 위하여 진동 주파수와 변형률과의 관계를 모사하는 다양한 형태의 수정된 등가선형해석기법들이 개발되었다. 수정된 기법들은 전단변형률 푸리에 스펙트럼을 사용한다는 점에서는 동일하지만, 이로부터 변형률의 주파수 의존도를 정의하는 과정에서는 차이를 보이고 있다. 본 연구에서는 두 가지 수정된 등가선형해석기법들의 정확성을 평가하기 위하여 국내에서 조사된 두 개의 토층에서 일련의 비선형, 등가선형, 수정된 등가선형 지반응답해석을 수행하였다. 해석 결과, 수정된 등가선형해석기법들은 고주파수 요소를 과대 예측할 수 있으며, 특히 고주파수 요소가 풍부한 인공지진파를 입력 지진파로 사용하였을 경우 비현실적인 응답이 계산될 수 있는 것으로 나타났다.

다양한 크기와 주파수 그리고 감쇠를 갖는 상하방향 전신 충격진동에 대한 불편함 연구 (Study on Discomfort of Vertical Whole-body Shock Vibration Having Various Magnitudes, Frequencies and Damping)

  • 안세진;;유완석;정의봉
    • 한국자동차공학회논문집
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    • 제15권2호
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    • pp.50-57
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    • 2007
  • Shocks are excited by impulsive forces and cause discomfort in vehicles. Current standards define means of evaluating shocks and predicting their discomfort, but the methods are based on research with a restricted range of shocks. This experimental study was designed to investigate the discomfort of seated subjects exposed to a wide range of vertical shocks. Shocks were produced from the responses of one degree-of-freedom models, with 16 natural frequencies (from 0.5 to 16 Hz) and four damping ratios (0.05 0.1, 0.2 and 0.4), to a hanning-windowed half-sine force inputs. Each type of shock was presented at five vibration dose values in the range $0.35\;ms^{-1.75}$ to $2.89\;ms^{-1.75}$. Fifteen subjects used magnitude estimation method to judge the discomfort of all shocks. The exponent in Stevens' power law, indicating the rate of growth in discomfort with shock magnitude, decreased with increasing fundamental frequency of the shocks. At all magnitudes, the equivalent comfort contours showed greatest sensitivity to shocks having fundamental frequencies in the range 4 to 12.5 Hz. At low magnitudes the variations in discomfort with the shock fundamental frequency were similar to the frequency weighting $W_b$ in BS 6841, but low frequency high magnitudes shocks produced greater discomfort than predicted by this weighting. At some frequencies, for the same unweighted vibration dose value, there were small but significant differences in discomfort caused by shocks having different damping ratios. The rate of increase in discomfort with increasing shock magnitude depends on the fundamental frequency of the shock. In consequence, the frequency-dependence of discomfort produced by vertical shocks depends on shock magnitude. For shocks of low and moderate discomfort, the current methods seem reasonable, but the response to higher magnitude shocks needs further investigation.

Experimentally validated FEA models of HF2V damage free steel connections for use in full structural analyses

  • Desombre, Jonathan;Rodgers, Geoffrey W.;MacRae, Gregory A.;Rabczuk, Timon;Dhakal, Rajesh P.;Chase, J. Geoffrey
    • Structural Engineering and Mechanics
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    • 제37권4호
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    • pp.385-399
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    • 2011
  • The aim of this research is to model the behaviour of recently developed high force to volume (HF2V) passive energy dissipation devices using a simple finite element (FE) model. Thus, the end result will be suitable for use in a standard FE code to enable computationally fast and efficient analysis and design. Two models are developed. First, a detailed axial model that models an experimental setup is created to validate the approach versus experimental results. Second, a computationally and geometrically simpler equivalent rotational hinge element model is presented. Both models are created in ABAQUS, a standard nonlinear FE code. The elastic, plastic and damping properties of the elements used to model the HF2V devices are based on results from a series of quasi-static force-displacement loops and velocity based tests of these HF2V devices. Comparison of the FE model results with the experimental results from a half scale steel beam-column sub-assembly are within 10% error. The rotational model matches the output of the more complex and computationally expensive axial element model. The simpler model will allow computationally efficient non-linear analysis of large structures with many degrees of freedom, while the more complex and physically accurate axial model will allow detailed analysis of joint connection architecture. Their high correlation to experimental results helps better guarantee the fidelity of the results of such investigations.

상하동요하는 2차원 원주의 고유진동수: 주파수 영역 해석 (Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Frequency-Domain Analysis)

  • 이동엽;이승준
    • 대한조선학회논문집
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    • 제50권2호
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    • pp.111-119
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the frequency domain. Previously, it was thought that the theory of Ursell (1949) could not be used to get the added mass and wave-making damping for short waves, however, they were obtained by applying an accurate collocation method to the theory in this study. Using the so developed numerical method, we found the added mass and wave-making damping of the circular cylinder for the entire range of the frequency. Then, the MCFR(Modulus of Complex Frequency Response) was used to locate the frequency corresponding to the local maximum of MCFR and we define it as the natural frequency. Comparing our results with the previous investigation, we found that the pressure distribution on the cylinder gets close asymptotically to that of a cylinder in infinite fluid OR close to that of the cylinder, that the approximation of the natural frequency by Lee (2008) is different from our new value only by 0.64%, and that the approximation of the heaving system by an equivalent damped harmonic oscillation is not proper by the reason that is clearly shown from the comparison of the shape of the corresponding MCFRs.

An Inductance Voltage Vector Control Strategy and Stability Study Based on Proportional Resonant Regulators under the Stationary αβ Frame for PWM Converters

  • Sun, Qiang;Wei, Kexin;Gao, Chenghai;Wang, Shasha;Liang, Bin
    • Journal of Power Electronics
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    • 제16권3호
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    • pp.1110-1121
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    • 2016
  • The mathematical model of a three phase PWM converter under the stationary αβ reference frame is deduced and constructed based on a Proportional-Resonant (PR) regulator, which can replace trigonometric function calculation, Park transformation, real-time detection of a Phase Locked Loop and feed-forward decoupling with the proposed accurate calculation of the inductance voltage vector. To avoid the parallel resonance of the LCL topology, the active damping method of the proportional capacitor-current feedback is employed. As to current vector error elimination, an optimized PR controller of the inner current loop is proposed with the zero-pole matching (ZPM) and cancellation method to configure the regulator. The impacts on system's characteristics and stability margin caused by the PR controller and control parameter variations in the inner-current loop are analyzed, and the correlations among active damping feedback coefficient, sampling and transport delay, and system robustness have been established. An equivalent model of the inner current loop is studied via the pole-zero locus along with the pole placement method and frequency response characteristics. Then, the parameter values of the control system are chosen according to their decisive roles and performance indicators. Finally, simulation and experimental results obtained while adopting the proposed method illustrated its feasibility and effectiveness, and the inner current loop achieved zero static error tracking with a good dynamic response and steady-state performance.

곡선맞춤법을 이용한 선체상부구조 모델의 진동해석 (Experimental Vibration Analysis of a Super-Structure Model Using Curve Fitting Method)

  • 오창근;제해광;박석주
    • 한국항해항만학회지
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    • 제26권3호
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    • pp.281-288
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    • 2002
  • 진동해석과 기술에 있어서 실험과 해석분야 모두 다 같이 발전한 것은 사실이지만, 실험해석법은 유한요소법과 같은 이론해석법만큼 발달한 것이라 할 수 없을 것이다. 그 이유 중에 하나로 비선형 방정식을 푸는데 있어 초기치의 선택에 따라 계산시간이 길어지고 해가 종종 발산하기도 하기 때문이다. 일반적으로 실험모드해석에 있어 방정식은 고유진동수와 감쇠비의 비선형 항과 등가강성의 선형 항으로 구성된다. 본 연구에서는 비선형 항을 먼저 구하고, 다음에 선형 항을 구하였다. 개발된 실험모드해석법(곡선맞춤법)을 선체상부구조 모델에 적용하여, 모드 특성치들을 계산하였다. 또한 개발된 프로그램은 그래픽기법을 적용하여 간단한 마우스 조작으로 채용 모드수와 감쇠비를 결정할 수 있도록 하였다.

Aeroelastic modeling to investigate the wind-induced response of a multi-span transmission lines system

  • Azzi, Ziad;Elawady, Amal;Irwin, Peter;Chowdhury, Arindam Gan;Shdid, Caesar Abi
    • Wind and Structures
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    • 제34권2호
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    • pp.231-257
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    • 2022
  • Transmission lines systems are important components of the electrical power infrastructure. However, these systems are vulnerable to damage from high wind events such as hurricanes. This study presents the results from a 1:50 scale aeroelastic model of a multi-span transmission lines system subjected to simulated hurricane winds. The transmission lines system considered in this study consists of three lattice towers, four spans of conductors and two end-frames. The aeroelastic tests were conducted at the NSF NHERI Wall of Wind Experimental Facility (WOW EF) at the Florida International University (FIU). A horizontal distortion scaling technique was used in order to fit the entire model on the WOW turntable. The system was tested at various wind speeds ranging from 35 m/s to 78 m/s (equivalent full-scale speeds) for varying wind directions. A system identification (SID) technique was used to evaluate experimental-based along-wind aerodynamic damping coefficients and compare with their theoretical counterparts. Comparisons were done for two aeroelastic models: (i) a self-supported lattice tower, and (ii) a multi-span transmission lines system. A buffeting analysis was conducted to estimate the response of the conductors and compare it to measured experimental values. The responses of the single lattice tower and the multi-span transmission lines system were compared. The coupling effects seem to drastically change the aerodynamic damping of the system, compared to the single lattice tower case. The estimation of the drag forces on the conductors are in good agreement with their experimental counterparts. The incorporation of the change in turbulence intensity along the height of the towers appears to better estimate the response of the transmission tower, in comparison with previous methods which assumed constant turbulence intensity. Dynamic amplification factors and gust effect factors were computed, and comparisons were made with code specific values. The resonance contribution is shown to reach a maximum of 18% and 30% of the peak response of the stand-alone tower and entire system, respectively.

동력분산형 고속열차의 승차감 개선에 관한 연구 (A Study on the Ride Quality Enhancement of the High-speed Electric Multiple Unit)

  • 전창성;김상수;김석원
    • 한국산학기술학회논문지
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    • 제19권11호
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    • pp.561-567
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    • 2018
  • 본 연구는 동력분산형 고속열차의 승차감을 개선하기 위하여 진행되었다. 동력분산형 고속열차 시제차량의 동역학 해석을 통해 300km/h이상의 임계속도를 갖는 등가 답면구배의 범위는 0.05에서 0.25사이임을 확인하였다. 초기에 적용된 차륜 프로파일 S1002는 4만km이상의 누적주행거리에도 불구하고 등가 답면구배는 0.033 정도였고, 안정적인 운행을 위해서는 등가 답면구배가 0.061이 넘는 XP55가 더 적합함을 확인하였다. 동력분산형 고속열차의 승차감을 개선하기 위한 방안으로 요댐퍼의 설치 각도를 $7.35^{\circ}$에서 $0^{\circ}$로 변경하고, 민감도 분석과 최적화를 통해 도출된 공기스프링 횡 및 상하방향 강성 30% 감소, 2차 수직댐퍼 및 횡댐퍼 댐핑계수를 50% 증가시키는 방안을 제안하였다. 이를 적용하면 차체 가속도를 평균 20%정도 개선시킬 수 있을 것으로 예상되었다. 도출된 승차감 개선 방법의 일부인 요댐퍼 설치각도를 $0^{\circ}$로 변경하고 횡댐퍼의 댐핑계수를 30% 증가시킨 후 경부고속선에서 300km/h 속도로 시운전을 진행하였을 때, 차체 횡가속도는 평균 34.3% 개선되었고, 본 연구에서 제안된 추가적인 개선 방안은 향후 시운전 시험 시에 적용될 예정이다. 본 연구에서 사용된 승차감 개선 프로세스는 향후 동력분산형 고속열차의 상업 운행 시에 발생할 수 있는 승차감 관련 문제 해결에 사용될 수 있다.

질량/스프링 계를 고려한 리니어 왕복 액추에이터 시스템의 등가 임피던스 모델링과 주파수 특성 해석 (Equivalent Impedance Modelling and Frequency Characteristic Analysis of Linear Oscillatory Actuator System Considering Mass/spring System)

  • 정상섭;장석명
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제51권7호
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    • pp.370-378
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    • 2002
  • As resent trends in structural construction have been to build taller and larger structures than any time in the past, they have had high flexibility and low damping that can cause large vibration response under severe environmental loading such as earthquakes, winds, and mechanical excitations. The damper with mass and spring is one approach to safeguarding the structure against excessive vibrations. In this paper, the lumped electrical circuit approach of mass/spring system is used to model the mechanical aspects according to the frequency. Therefore, the mass/spring system can be dealt with here and linked with the equivalent circuit of electric linear oscillatory actuator(LOA). Analysis models are two types of vibration control system, active mass damper(AMD) and hybrid mass damper(HMD). AMD consists of the moving coil LOA with mass only The LOA of HMD with mass and spring is composed of the fixed coil and the movable permanent magnet(PM) field part. The PM field part composed magnet modules and iron coke, is the damper marts itself. We Present the motional resistance and reactance of mass/spring system and the system impedance of AMD and HMD according to the frequency.

공압 제진 시스템의 해석과 설계: I. 모델링과 전달율 계산 알고리즘 (Analysis and Design of a Pneumatic Vibration Isolation System: Part I. Modeling and Algorithm for Transmissibility Calculation)

  • 문준희;박희재
    • 한국정밀공학회지
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    • 제21권10호
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    • pp.127-136
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    • 2004
  • This paper is the first of two companion papers concerning the analysis and design of a pneumatic vibration isolation system. The design optimization of the pneumatic vibration isolation system is required for the reduction of cost, endeavor and time, and it needs modeling and calculation algorithm. The nonlinear models are devised from the fluid mechanical expression for components of the system and the calculation algorithm is derived from the mathematical relationship between the models. It is shown that the orifice makes the nonlinear property of the transmissibility curve that the resonant frequency changes by the amplitude of excited vibration. Linearization of the nonlinear models is tried to reduce elapsed time and truncation error accumulation and to enable the transmissibility calculation of the system with multi damping chambers. The equivalent mechanical models generated by linearization clarify the function of each component of the system and lead to the linearized transfer function that can give forth to the transmissibility exactly close to that of nonlinear models. The modified successive under-relaxation method is developed to calculate the linearized transfer function.